An integral approach to the inverse electromagnetic shaping problem

Author

Fugate, David W. ; Hoburg, James F.

Author_Institution

Westinghouse Sci. & Technol. Center, Pittsburgh, PA, USA

Volume

27

Issue

6

fYear

1991

fDate

11/1/1991 12:00:00 AM

Firstpage

5229

Lastpage

5231

Abstract

An integral equation method is presented for solving the inverse shaping problem where a desired free boundary is specified in addition to the location of a number of source currents. The method results in a matrix equation which is solved for the source current magnitudes necessary to achieve the desired free boundary geometry. The integral approach described is based on the superposition integral equation for the magnetic vector potential. By limiting the sources to certain geometries, e.g. strips of surface current or line currents, analytical expressions for the vector potential due to all current sources can be used along with boundary conditions to form a system of linear equations in which the source currents are the unknowns. Surface currents are used as the predefined sources. The method is tested using a previously developed free boundary solution procedure

Keywords

boundary-value problems; electromagnetic fields; forming processes; integral equations; inverse problems; liquid metals; magnetic levitation; 2D approach; boundary conditions; free boundary; integral equation method; inverse electromagnetic shaping problem; line currents; liquid metals; magnetic levitation; magnetic vector potential; matrix equation; source current magnitudes; surface current; system of linear equations; Conductors; Electromagnetic coupling; Electromagnetic fields; Frequency; Geometry; Integral equations; Magnetic levitation; Shape; Stress; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.278796

Filename

278796